Boundedness of Maximal and Singular Operators in Morrey Spaces with Variable Exponent

Authors

  • Vakhtang Kokilashvili Institute of mathematics 1. M. Aleksidze Str.0193 Tbilisi, Georgia
  • Alexander Meskhi Institute of mathematics 1. M. Aleksidze Str.0193 Tbilisi, Georgia

Abstract

  In this paper the boundedness of Hardy-Littlewood maximal and singular operators in variable exponent Morrey spaces $M^{p(\cdot)}_{q(\cdot)}(X)$ defined on spaces of homogeneous type is established provided that $p$ and $q$ satisfy Dini-Lipschitz (log-H\"older continuity) condition.

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Published

2008-07-11

Issue

Vol. 1 No. 1 (2008)

Section

Articles

How to Cite

[1]
V. Kokilashvili and A. Meskhi, “Boundedness of Maximal and Singular Operators in Morrey Spaces with Variable Exponent”, Armen.J.Math., vol. 1, no. 1, pp. 18–28, Jul. 2008, Accessed: Jan. 22, 2025. [Online]. Available: https://armjmath.sci.am/index.php/ajm/article/view/8